NumericalAnalysis.jl

This is Numerical Analysis Julia package
Author ZhouZhuofei
Popularity
0 Stars
Updated Last
3 Years Ago
Started In
September 2020

NumericalAnalysis

I am a beginner of Julia and numerical analysis, there may be many problems, 👏 to discuss with me.🤣

Basic

here are some function:

julia > using NumericalAnalysis


Now,just have some Methods here

• Basic
• N the derivative, use ForwardDiff packageto calculate $\frac{dy}{dx}$, then recursive to get Nth derivative.(emmm, I feel a bit slow)
• Taylor Polynomial, get the value nth Taylor Ploynomial.
• Solutions for equation in one Variable(in NumericalAnalysis.SEq1)
• Bisection function, find root
• fixed_point function.
• Newton's Method
• The Secant Method
• The False Position Method
• Modified Newton's Method
• Müller’s Method
• Interpolation and the Lagrange Polynomial
• nth Larange interpolating polynomial
• Neville’s Iterated Interpolation
• Newton’s Divided-Difference Formula
• Natural Cubic Spline
• Clamped Cubic Spline
• Numerical Differentiation and integration
• Differentiation
• Three-Point and Five-Point formula
• Integration
• Trapezoidal Rule
• Simpson's Rule
• Newton_cotes
• Romberg